Suppose that telephone calls arriving at a switchboard follow a Poisson process with an average of 5 calls per minute. What is the probability up to a minute will elapse by the time 2 calls have come into the switchboard

The correct answer is "0.0842".

Step-by-step explanation:

Given:

X = 5

By using the Poisson's distribution formula, we get

The probability will be:

⇒

By substituting values, we get

linear

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2